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A summation formula for triples of quadratic spaces

Publication ,  Journal Article
Getz, JR; Liu, B
Published in: Advances in Mathematics
April 30, 2019
Published version (DOI)

Let V 1 ,V 2 ,V 3 be a triple of even dimensional vector spaces over a number field F equipped with nondegenerate quadratic forms Q 1 ,Q 2 ,Q 3 , respectively. Let Y⊂∏i=1V i be the closed subscheme consisting of (v 1 ,v 2 ,v 3 ) on which Q 1 (v 1 )=Q 2 (v 2 )=Q 3 (v 3 ). Motivated by conjectures of Braverman and Kazhdan and related work of Lafforgue, Ngô and Sakellaridis we prove an analogue of the Poisson summation formula for certain functions on this space.

Duke Scholars

Jayce Robert Getz
Author Jayce Robert Getz Mathematics

Published In

Advances in Mathematics

DOI

10.1016/j.aim.2019.02.023

EISSN

1090-2082

ISSN

0001-8708

Publication Date

April 30, 2019

Volume

347

Start / End Page

150 / 191

Related Subject Headings

  • General Mathematics
  • 4904 Pure mathematics
  • 4902 Mathematical physics
  • 4901 Applied mathematics
  • 0101 Pure Mathematics
 

Citation

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MLA
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Getz, J. R., & Liu, B. (2019). A summation formula for triples of quadratic spaces. Advances in Mathematics, 347, 150–191. https://doi.org/10.1016/j.aim.2019.02.023
Getz, J. R., and B. Liu. “A summation formula for triples of quadratic spaces.” Advances in Mathematics 347 (April 30, 2019): 150–91. https://doi.org/10.1016/j.aim.2019.02.023.
Getz JR, Liu B. A summation formula for triples of quadratic spaces. Advances in Mathematics. 2019 Apr 30;347:150–91.
Getz, J. R., and B. Liu. “A summation formula for triples of quadratic spaces.” Advances in Mathematics, vol. 347, Apr. 2019, pp. 150–91. Scopus, doi:10.1016/j.aim.2019.02.023.
Getz JR, Liu B. A summation formula for triples of quadratic spaces. Advances in Mathematics. 2019 Apr 30;347:150–191.
Journal cover image

Published In

Advances in Mathematics

DOI

10.1016/j.aim.2019.02.023

EISSN

1090-2082

ISSN

0001-8708

Publication Date

April 30, 2019

Volume

347

Start / End Page

150 / 191

Related Subject Headings

  • General Mathematics
  • 4904 Pure mathematics
  • 4902 Mathematical physics
  • 4901 Applied mathematics
  • 0101 Pure Mathematics